Results 151 to 160 of about 577,125 (180)
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Integral Equations on Function Spaces and Dichotomy on the Real Line
Integral Equations and Operator Theory, 2006The purpose of this paper is to give new and general characterizations for uniform dichotomy and uniform exponential dichotomy of evolution families on the real line. We consider two general classes denoted \( {\user1{\mathcal{T}}}({\user2{\mathbb{R}}}) \) and \( {\user1{\mathcal{H}}}({\user2{\mathbb{R}}}) \) and we prove that if V,W are Banach ...
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Functional equations of real analytic Jacobi Eisenstein series
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 2019We prove the existence of meromorphic continuation and the functional equation of the real analytic Jacobi Eisenstein series of degree m and matrix index T in case T is a kernel form.
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Elliptic partial differential equationsfor real analytic functions
Mathematische Zeitschrift, 2000The problem of existence of a continuous linear right inverse operator for a given partial differential operators is studied. Suppose \(K\subset\mathbb{R}^N\) is a compact convex set with nonempty interior, \(\partial K\) is the boundary of \(K,\) \(A(K)\) is the space of all real analytic functions on \(K\) and the partial differential operator \(P(D):
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Real algebrogeometric solutions of the Landau-Lifshits equation in prym theta functions
Functional Analysis and Its Applications, 1985The XYZ Landau-Lifshitz (L-L) equation \[ S_ t=S\times S_{xx}+S\times JS,\quad | S| =1,\quad J=diag(J_ 1,J_ 2,J_ 3) \] is a compatibility condition for the set of two linear equations \[ \psi_ x=U(u)\psi,\quad \psi_ t=V(u)\psi \to U_ t-V_ x+[U,V]=0, \] where the spectral parameter U is a point on an elliptic curve T, and U,V are the (2\(\times 2 ...
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Journal of Mathematical Physics, 1992
A method is provided whereby solutions of the inhomogeneous wave equations that describe the propagation of positive-frequency photons in the forward tube of complex Minkowski space may be formally expressed in terms of integrals involving the tensor product of appropriate Green’s functions.
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A method is provided whereby solutions of the inhomogeneous wave equations that describe the propagation of positive-frequency photons in the forward tube of complex Minkowski space may be formally expressed in terms of integrals involving the tensor product of appropriate Green’s functions.
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Ukrainian Mathematical Journal, 1988
Let P denote the class of functions p(z) that are analytic in the unit disk E and satisfy the conditions \(p(0)=1\) and Re p(z)\(>0\) for \(z\in E\). Let \[ S(w,\alpha)=w(z)+\alpha zw'(z)/w(z), \] where \(\alpha >0\) and w(z) is analytic in E with w(z)\(\neq 0\) and \(w(0)=1\).
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Let P denote the class of functions p(z) that are analytic in the unit disk E and satisfy the conditions \(p(0)=1\) and Re p(z)\(>0\) for \(z\in E\). Let \[ S(w,\alpha)=w(z)+\alpha zw'(z)/w(z), \] where \(\alpha >0\) and w(z) is analytic in E with w(z)\(\neq 0\) and \(w(0)=1\).
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On the solution of a functional equation in the real domain
Siberian Mathematical Journal, 1972openaire +3 more sources
On a functional equation which contains a real-valued function of vector variable
Periodica Mathematica Hungarica, 1974openaire +1 more source
Functional equations, alternating expansions, and generalizations of the Salem functions
Aequationes Mathematicae, 2023exaly
Functional equations of zeta functions associated with homogeneous cones
Tohoku Mathematical Journal, 2020Hideto Nakashima
exaly